Question 21

If $$3x + 4y - 2z + 9 = 17, 7x + 2y + 11z + 8 = 23$$ and $$5x + 9y + 6z - 4 = 18$$, then what is the value of $$x + y + z - 34$$?

3x + 4y - 2z = 8

7x + 2y + 11z = 15

5x + 9y + 6z = 22

On adding all the 3 equations, we get, 

15 (x+ y + z) = 45

x + y + x = 3

Hence, the value of x + y + x - 34 is -31.

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